Question

(a+b)^2=10
and ab=1
then find a^2+b^2

Answer 1

`\underline{\large \bf{Required \: Answer}} : -`

`\dashrightarrow \: \red{\large8}`

`\sf`

`\underline{ \large{ \rm \pink{SolutioN}}} \: -`

`\quad \qquad\sf \: {(a + b)}^(2) = 10`

`\qquad \: \: \to\: \: \sf{a}^(2) + {b}^(2) + 2ab = 10`

`\qquad\: \: \to\: \: \sf{a}^(2) + {b}^(2) + 2(1) = 10`

`\qquad\: \: \to\: \: \sf \: {a}^(2) + {b}^(2) = 10 - 2`

`\qquad\: \:\bf \to\: \: \: {a}^(2) + {b}^(2) = 8`

`\sf`

`\sf \therefore \: 8 \: \: is \: \: the \: \: required \: \: answer`

`\rule{200pt}{2pt}`